Wiener Index and Hosoya Polynomial of Fibonacci and Lucas Cubes

@inproceedings{Klavzar2012WienerIA,
  title={Wiener Index and Hosoya Polynomial of Fibonacci and Lucas Cubes},
  author={Sandi Klavzar and Michel Mollard},
  year={2012}
}
In the language of mathematical chemistry, Fibonacci cubes can be defined as the resonance graphs of fibonacenes. Lucas cubes form a symmetrization of Fibonacci cubes and appear as resonance graphs of cyclic polyphenantrenes. In this paper it is proved that the Wiener index of Fibonacci cubes can be written as the sum of products of four Fibonacci numbers which in turn yields a closed formula for the Wiener index of Fibonacci cubes. Asymptotic behavior of the average distance of Fibonacci cubes… CONTINUE READING

References

Publications referenced by this paper.
SHOWING 1-10 OF 27 REFERENCES

Computing Wiener and detour indices of a new type of nanostar dendrimers

  • A. R. Ashrafi, A. Karbasioun, M. V. Diudea
  • MATCH Commun. Math. Comput. Chem., 65
  • 2011
1 Excerpt

Some new results on distancebased polynomials

  • A. Behmaran, H. Yousefi-Azari, A. R. Ashrafi
  • MATCH Commun. Math. Comput. Chem., 65
  • 2011
1 Excerpt

and H

  • L. Ou, H. Zhang
  • Yao, Determining which Fibonacci (p,r)-cubes can…
  • 2011
1 Excerpt

On the Wiener index of fibonacenes

  • A. A. Dobrynin
  • MATCH Commun. Math. Comput. Chem., 64
  • 2010
2 Excerpts

Similar Papers

Loading similar papers…